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Atlas › Integer Profiles › Node 11,645,289

11,645,289

35 × 17 × 2819
Deficient Odd Composite

11,645,289 factors as 3^5 × 17 × 2819. Its 24 positive divisors give a proper-divisor sum of 6,831,351, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3^5 × 17 × 2819
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,476,640
Proper Divisor Sum 6,831,351
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11645287 ← → #11645297

Radix Representation

Decimal 11645289
Binary 101100011011000101101001 (24 bits)
Octal 0o54330551
Hexadecimal 0xB1B169

Divisor Catalog (24)

1 3 9 17 27 51 81 153 243 459 1,377 2,819 4,131 8,457 25,371 47,923 76,113 143,769 228,339 431,307 685,017 1,293,921 3,881,763 11,645,289

Collatz Trajectory (184 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

11,645,289 34,935,868 17,467,934 8,733,967 26,201,902 13,100,951 39,302,854 19,651,427 58,954,282 29,477,141 88,431,424 44,215,712 22,107,856 11,053,928 5,526,964 2,763,482 1,381,741 4,145,224 2,072,612 1,036,306 518,153 1,554,460 777,230 388,615 1,165,846 582,923 1,748,770 874,385 2,623,156 1,311,578 655,789 1,967,368 983,684 491,842 245,921 737,764 368,882 184,441 553,324 276,662 138,331 414,994 207,497 622,492 311,246 155,623 466,870 233,435 700,306 350,153 1,050,460 525,230 262,615 787,846 393,923 1,181,770 590,885 1,772,656 886,328 443,164

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